What is the Least Common Multiple of 86181 and 86196?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 86181 and 86196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86181 and 86196, than apply into the LCM equation.

GCF(86181,86196) = 3
LCM(86181,86196) = ( 86181 × 86196) / 3
LCM(86181,86196) = 7428457476 / 3
LCM(86181,86196) = 2476152492

Least Common Multiple (LCM) of 86181 and 86196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86181 and 86196. First we will calculate the prime factors of 86181 and 86196.

Prime Factorization of 86181

Prime Factorization of 86196

Now multiplying the highest exponent prime factors to calculate the LCM of 86181 and 86196.

LCM(86181,86196) = 3¹ × 23¹ × 1249¹ × 2² × 11¹ × 653¹
LCM(86181,86196) = 2476152492